1 #ifndef MSP_LINAL_MATRIX_H_
2 #define MSP_LINAL_MATRIX_H_
11 A general mathematical matrix.
13 template<typename T, unsigned M, unsigned N>
23 Matrix(const Matrix<U, M, N> &);
25 static Matrix from_columns(const Vector<T, M> *);
26 static Matrix from_rows(const Vector<T, N> *);
28 T &element(unsigned i, unsigned j) { return data[i+M*j]; }
29 const T &element(unsigned i, unsigned j) const { return data[i+M*j]; }
30 T &operator()(unsigned i, unsigned j) { return element(i, j); }
31 const T &operator()(unsigned i, unsigned j) const { return element(i, j); }
33 Matrix &operator*=(T);
34 Matrix &operator/=(T);
35 Matrix &operator+=(const Matrix &);
36 Matrix &operator-=(const Matrix &);
38 Matrix &exchange_rows(unsigned, unsigned);
39 Matrix &multiply_row(unsigned, T);
40 Matrix &add_row(unsigned, unsigned, T);
43 template<typename T, unsigned M, unsigned N>
44 inline Matrix<T, M, N>::Matrix()
46 std::fill(data, data+M*N, T());
49 template<typename T, unsigned M, unsigned N>
50 inline Matrix<T, M, N>::Matrix(const T *d)
52 std::copy(d, d+M*N, data);
55 template<typename T, unsigned M, unsigned N>
57 inline Matrix<T, M, N>::Matrix(const Matrix<U, M, N> &m)
59 std::copy(m.data, m.data+M*N, data);
62 template<typename T, unsigned M, unsigned N>
63 inline Matrix<T, M, N> Matrix<T, M, N>::from_columns(const Vector<T, M> *v)
66 for(unsigned i=0; i<M; ++i)
67 for(unsigned j=0; j<N; ++j)
71 template<typename T, unsigned M, unsigned N>
72 inline Matrix<T, M, N> Matrix<T, M, N>::from_rows(const Vector<T, N> *v)
75 for(unsigned i=0; i<M; ++i)
76 for(unsigned j=0; j<N; ++j)
80 template<typename T, unsigned M, unsigned N>
81 inline Matrix<T, M, N> &Matrix<T, M, N>::operator*=(T s)
83 for(unsigned i=0; i<M*N; ++i)
88 template<typename T, unsigned M, unsigned N>
89 inline Matrix<T, M, N> operator*(const Matrix<T, M, N> &m, T s)
95 template<typename T, unsigned M, unsigned N>
96 inline Matrix<T, M, N> operator*(T s, const Matrix<T, M, N> &m)
101 template<typename T, unsigned M, unsigned P, unsigned N>
102 inline Matrix<T, M, N> operator*(const Matrix<T, M, P> &m1, const Matrix<T, P, N> &m2)
105 for(unsigned i=0; i<M; ++i)
106 for(unsigned j=0; j<N; ++j)
107 for(unsigned k=0; k<P; ++k)
108 r(i, j) += m1(i, k)*m2(k, j);
112 template<typename T, unsigned M, unsigned N>
113 inline Vector<T, M> operator*(const Matrix<T, M, N> &m, const Vector<T, N> &v)
116 for(unsigned i=0; i<M; ++i)
117 for(unsigned j=0; j<N; ++j)
118 r[i] += m(i, j)*v[j];
122 template<typename T, unsigned M, unsigned N>
123 inline Vector<T, N> operator*(const Vector<T, M> &v, const Matrix<T, M, N> &m)
126 for(unsigned j=0; j<N; ++j)
127 for(unsigned i=0; i<M; ++i)
128 r[j] += v[i]*m(i, j);
132 template<typename T, unsigned M, unsigned N>
133 inline Matrix<T, M, N> &Matrix<T, M, N>::operator/=(T s)
135 for(unsigned i=0; i<M*N; ++i)
140 template<typename T, unsigned M, unsigned N>
141 inline Matrix<T, M, N> operator/(const Matrix<T, M, N> &m, T s)
143 Matrix<T, M, N> r(m);
147 template<typename T, unsigned M, unsigned N>
148 inline Matrix<T, M, N> &Matrix<T, M, N>::operator+=(const Matrix<T, M, N> &m)
150 for(unsigned i=0; i<M*N; ++i)
151 data[i] += m.data[i];
155 template<typename T, unsigned M, unsigned N>
156 inline Matrix<T, M, N> operator+(const Matrix<T, M, N> &m1, const Matrix<T, M, N> &m2)
158 Matrix<T, M, N> r(m1);
162 template<typename T, unsigned M, unsigned N>
163 inline Matrix<T, M, N> &Matrix<T, M, N>::operator-=(const Matrix<T, M, N> &m)
165 for(unsigned i=0; i<M*N; ++i)
166 data[i] -= m.data[i];
170 template<typename T, unsigned M, unsigned N>
171 inline Matrix<T, M, N> operator-(const Matrix<T, M, N> &m1, const Matrix<T, M, N> &m2)
173 Matrix<T, M, N> r(m1);
177 template<typename T, unsigned M, unsigned N>
178 inline bool operator==(const Matrix<T, M, N> &a, const Matrix<T, M, N> &b)
180 for(unsigned j=0; j<N; ++j)
181 for(unsigned i=0; i<M; ++i)
187 template<typename T, unsigned M, unsigned N>
188 inline Matrix<T, M, N> &Matrix<T, M, N>::exchange_rows(unsigned i, unsigned j)
190 for(unsigned k=0; k<N; ++k)
191 std::swap(element(i, k), element(j, k));
195 template<typename T, unsigned M, unsigned N>
196 inline Matrix<T, M, N> &Matrix<T, M, N>::multiply_row(unsigned i, T s)
198 for(unsigned k=0; k<N; ++k)
203 template<typename T, unsigned M, unsigned N>
204 inline Matrix<T, M, N> &Matrix<T, M, N>::add_row(unsigned i, unsigned j, T s)
206 for(unsigned k=0; k<N; ++k)
207 element(j, k) += element(i, k)*s;
211 template<typename T, unsigned M, unsigned N>
212 inline Matrix<T, N, M> transpose(const Matrix<T, M, N> &m)
215 for(unsigned j=0; j<N; ++j)
216 for(unsigned i=0; i<M; ++i)